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arXiv · 1403.7301

$TMF_0(3)$ Characteristic classes for String bundles

Gerd Laures·Martin Olbermann
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Abstract

We compute the completed $TMF_0(3)$ cohomology of the 7-connective cover $BString$ of $BO$. We use cubical structures on line bundles over elliptic curves to construct an explicit class which together with the Pontryagin classes freely generates the cohomology ring.

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Gerd Laures, Martin Olbermann. 2014-03-28. $TMF_0(3)$ Characteristic classes for String bundles. https://arxiv.org/abs/1403.7301

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